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Finding the Fourth Proportional to 383,637.60, 574,678.80 and 217,231.20

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Solution

The fourth proportional to 383,637.60, 574,678.80 and 217,231.20 is: 325,406.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,637.60 : 574,678.80 = 217,231.20 : x
  2. Step 2: Convert to fraction form
    383,637.60/574,678.80 = 217,231.20/x
  3. Step 3: Cross multiply
    383,637.60x = 574,678.80 × 217,231.20
  4. Step 4: Simplify right side
    383,637.60x = 124,838,165,338.56
  5. Step 5: Solve for x
    x = 124,838,165,338.56/383,637.60
  6. Step 6: Final answer
    x = 325,406.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.